Greatest Common Factor of 67004 and 67011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 67004, 67011 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67004 and 67011 is 7.

GCF(67004,67011) = 7

GCF of 67004 and 67011

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 67004 and 67011

GCF of 67004 and 67011 is 7

Prime Factorization of 67004


2 67004
2 33502
7 16751
2393 2393
1

Prime factors of 67004 are 2,7,2393. Prime factorization of 67004 in exponential form is:

67004 = 22×71×23931

Prime Factorization of 67011


3 67011
7 22337
3191 3191
1

Prime factors of 67011 are 3,7,3191. Prime factorization of 67011 in exponential form is:

67011 = 31×71×31911

∴ So by taking common prime factors GCF of 67004 and 67011 is 7

Greatest Common Factor of 67004 and 67011 by matching factors method

Factors of 67004

List of positive integer factors of 67004 that divides 67004 without a remainder.

1,2,4,7,14,28,2393,4786,9572,16751,33502,67004

Factors of 67011

List of positive integer factors of 67011 that divides 67011 without a remainder.

1,3,7,21,3191,9573,22337,67011

Greatest Common Factor

We found the factors and prime factorization of 67004 and 67011. The biggest common factor number is the GCF number.
So the greatest common factor 67004 and 67011 is 7.

Also check out the Least Common Multiple of 67004 and 67011

Properties of GCF 67004 and 67011

(i) The GCF of 67004 and 67011 is associative

GCF of 67004 and 67011 = GCF of 67011 and 67004

Related Greatest Common Factor of 67004

Related Greatest Common Factor of 67011

Frequently Asked Questions on GCF of 67004 and 67011

1. What is the GCF of 67004 and 67011?

Answer: GCF of 67004 and 67011 is 7.

2. What are the Factors of 67004?

Answer: Factors of 67004 are 1, 2, 4, 7, 14, 28, 2393, 4786, 9572, 16751, 33502, 67004. There are 12 integers that are factors of 67004. The greatest factor of 67004 is 67004.

3. What are the Factors of 67011?

Answer: Factors of 67011 are 1, 3, 7, 21, 3191, 9573, 22337, 67011. There are 8 integers that are factors of 67011. The greatest factor of 67011 is 67011.

4. How to Find the GCF of 67004 and 67011?

Answer:

Greatest Common Factor of 67004 and 67011 = 7

Step 1: Find the prime factorization of 67004

67004 = 2 x 2 x 7 x 2393

Step 2: Find the prime factorization of 67011

67011 = 3 x 7 x 3191

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 67004 and 67011 is 7